Question

The function h is defined by h(x)=(20x−k)÷x+50, where k is a constant. Find k, if the value of ℎ at x=20 is equal to 65.


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Answer 1

Answer:

The value of k is $K=100$

Step-by-step explanation:

we know that

$h(x)=\frac{20x-k}{x}+50$

we have

$x=20\\ h(20)=65$

substitute in the function and solve for k

$65=\frac{20(20)-k}{20}+50$

$65-50=\frac{400-k}{20}$

$15=\frac{400-k}{20}$

$15*20=400-k$

$300=400-k$

$k=400-300=100$

Answer 2

Answer:

K=100

Step-by-step explanation: